Ken's POTW

Equal Areas

Here's an easier bit of math than the recent puzzles. Make
a figure with two squares: ABCD and EFGC, with DCG perpendicular to ECB.
(The squares are not [necessarily] the same size.)
Add lines DE, DF and AE.
DF crosses AE at point H.
AE crosses DC at point I.
DF crosses EC at point J.
Show that the areas of DHE and HJCI are equal.